Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
436 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#14519776 | C2 | semidirect |
| 3. #16840123 | C2 | direct (N × H) |
| 4. C2×#14519701 | C2 | semidirect |
| 7. C2×#14519687 | C2 | semidirect |
| 8. C2×#103×C61 | C2 | semidirect |
| 13. #14519776 | C22 | semidirect |
| 21. #14519701 | C22 | semidirect |
| 24. #14519687 | C22 | semidirect |
| 28. #103×C61 | C22 | semidirect |
| 104. C2×C61 | #489 | semidirect |
| 113. C2×#103 | D61 | semidirect |
| 117. C61 | C2×#489 | semidirect |
| 134. #103 | C2×D61 | semidirect |
| 213. C2 | #16840123 | direct (N × H) |